6771548160 has 560 divisors, whose sum is σ = 26309656296. Its totient is φ = 1656225792.

The previous prime is 6771548159. The next prime is 6771548167. The reversal of 6771548160 is 618451776.

It can be written as a sum of positive squares in 4 ways, for example, as 3519811584 + 3251736576 = 59328^2 + 57024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6771548167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43130802 + ... + 43130958.

Almost surely, 2^6771548160 is an apocalyptic number.

6771548160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6771548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154828148).

6771548160 is an abundant number, since it is smaller than the sum of its proper divisors (19538108136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6771548160 is a wasteful number, since it uses less digits than its factorization.

6771548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 6771548160 is about 82289.4170595466. The cubic root of 6771548160 is about 1891.8904742561.

It can be divided in two parts, 6771 and 548160, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 6771548160 in words is "six billion, seven hundred seventy-one million, five hundred forty-eight thousand, one hundred sixty".